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Reika [66]
3 years ago
15

1. You and your friend are splitting a restaurant bill and leaving a tip. You pay half of the bill plus $5. Your friend pays hal

f of the bill plus 25% of half the bill. You and your friend pay the same total amount. How much is half the bill?
(a) Write an equation. Let x be the cost of half the bill.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences. Answer:
(2. The graph shows the number of laps Kailee ran around a track over a given number of minutes.
(a) What is the slope of the line? Use the slope formula and show your work.
(b) How many laps did Kailee run per minute?
(c) If she continued to run at the same rate, how many laps would she run in 24 min?
3. A family is tracking its spending habits. Over the past year, the grocery bill has ranged from $110 to $170. Suppose you were going to plot these points on a coordinate grid.
(a) What is a good scale to use for the y-axis? Explain your reasoning.
(b) What is a good interval to use for the y-axis? Explain your reasoning. Answer:
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
8 0
1.
a) x+5=x+0.25x

b) x+5=x+0.25x
5=0.25x
Multiply both sides by 4
20=x

c)20+5=20+0.25*20
20+5=20+5
25+25

d) Each girl payed 25 dollars and half the bill is 20 dollars.

3.
a)each square = $10


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Look at the attached file. <br><br> please show your work on how you got the answer
statuscvo [17]

Answer:

D

Step-by-step explanation:

\frac{f(x)}{g(x)}

= \frac{2x+4}{2x^2+4x}

Factor out 2 on the numerator and 2x on the denominator.

= \frac{2(x+2)}{2x(x+2)}

Cancel the factor (x + 2) on the numerator/ denominator

= \frac{2}{2x} ← cancel the 2 on numerator/ denominator

= \frac{1}{x} : x ≠ 0

8 0
2 years ago
2. Alicia is writing the program for a video game. For one part of the game she uses the rule to move points on the screen.
Gwar [14]

<em>Complete Question:</em>

<em>Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y)->(x-3,y+4) to move points on the screen. </em>

<em>A) what output does the rule give when the input is (-6,0)? </em>

<em>B)What output does the rule give when the input is (3,-4)? </em>

<em>C) Is the rule a function? Explain why it is or why it is not </em>

Answer:

a. The output is (-9,4)

b. The output is (0,0)

c. See Explanation

Step-by-step explanation:

Given

Rule: (x,y)->(x - 3, y + 4)

Solving (a):

Inputs:

x = -6

y = 0

The outputs is as follows;

x => x - 3

x => -6 - 3

x => -9

y=> y + 4

y=> 0 + 4

y=> 4

Hence:

The output is (-9,4)

Solving (b):

Inputs:

x = 3

y = -4

The outputs is as follows;

x => x - 3

x=>3-3

x = 0

y=> y + 4

y=>-4+4

y=>0

Hence:

The output is (0,0)

Solving (c):

The function is a rule and the rule is that:

It shifts the graph left by 3 units and up by 4 units

5 0
2 years ago
Solve the following question
White raven [17]

Answer:

g) u^{4}\cdot v^{-1}\cdot z^{3}, h) \frac{(x+4)\cdot (x+2)}{3\cdot (x-5)}

Step-by-step explanation:

We proceed to solve each equation by algebraic means:

g) \frac{u^{5}\cdot v}{z}\div  \frac{u\cdot v^{2}}{z^{4}}

1) \frac{u^{5}\cdot v}{z}\div  \frac{u\cdot v^{2}}{z^{4}} Given

2) \frac{\frac{u^{5}\cdot v}{z} }{\frac{u\cdot v^{2}}{z^{4}} } Definition of division

3) \frac{u^{5}\cdot v\cdot z^{4}}{u\cdot v^{2}\cdot z}   \frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{b\cdot c}

4) \left(\frac{u^{5}}{u} \right)\cdot \left(\frac{v}{v^{2}} \right)\cdot \left(\frac{z^{4}}{z} \right)  Associative property

5) u^{4}\cdot v^{-1}\cdot z^{3}   \frac{a^{m}}{a^{n}} = a^{m-n}/Result

h) \frac{x^{2}-16}{x^{2}-10\cdot x + 25} \div \frac{3\cdot x - 12}{x^{2}-3\cdot x -10}

1) \frac{x^{2}-16}{x^{2}-10\cdot x + 25} \div \frac{3\cdot x - 12}{x^{2}-3\cdot x -10} Given

2) \frac{\frac{x^{2}-16}{x^{2}-10\cdot x+25} }{\frac{3\cdot x - 12}{x^{2}-3\cdot x - 10} } Definition of division

3) \frac{(x^{2}-16)\cdot (x^{2}-3\cdot x -10)}{(x^{2}-10\cdot x + 25)\cdot (3\cdot x - 12)}  \frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{b\cdot c}

4) \frac{(x+4)\cdot (x-4)\cdot (x-5)\cdot (x+2)}{3\cdot (x-5)^{2}\cdot (x-4) } Factorization/Distributive property

5) \left(\frac{1}{3} \right)\cdot (x+4)\cdot (x+2)\cdot \left(\frac{x-4}{x-4} \right)\cdot \left[\frac{x-5}{(x-5)^{2}} \right] Modulative and commutative properties/Associative property

6) \frac{(x+4)\cdot (x+2)}{3\cdot (x-5)}  \frac{a^{m}}{a^{n}} = a^{m-n}/\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}/Definition of division/Result

3 0
3 years ago
How to solve a rubik's cube?
ZanzabumX [31]
Rubik's Cubes! I love these things...

There are multiple methods to solving the Rubik's cube. My personal favorite (and the best if you are a beginner) is the F2L method, or First Two Layers. The first half is patterns and placement, the rest of F2L consists of algorithms. There are not enough characters allowed to tell you specifically how to solve the Rubik's cube. However, there is a guy on YouTube who very clearly explains specific methods over how to solve it. His name is Noah Richardson. He is probably one of the best at explaining the cube's complexity into easy to understand terms, for beginners.

Glad to see more people getting interested into the Rubik's Cube again!
Have a good one!
4 0
3 years ago
Read 2 more answers
Explain concept of base-ten blocks to 4.9÷7=
AleksandrR [38]
4.9÷7=0.7 because 49÷7=7, 4.9=49/10, and 7/10=0.7
6 0
3 years ago
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